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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : GEO552+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 12:28:26 PM UTC 2026

% Result   : Theorem 0.17s 5.84s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   39
%            Number of leaves      :   30
% Syntax   : Number of formulae    :  185 (  66 unt;   0 def)
%            Number of atoms       :  382 (   0 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  331 ( 134   ~; 131   |;  35   &)
%                                         (   0 <=>;  31  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-6 aty)
%            Number of variables   :  569 (  46 sgn 288   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ruleD9,axiom,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ( perp(X3,X4,X5,X6)
        & perp(X1,X2,X3,X4) )
     => para(X1,X2,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).

fof(ruleX11,axiom,
    ! [X1,X2,X3,X8] :
    ? [X9] :
      ( circle(X8,X1,X2,X3)
     => perp(X9,X1,X1,X8) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX11) ).

fof(ruleD8,axiom,
    ! [X1,X2,X3,X4] :
      ( perp(X1,X2,X3,X4)
     => perp(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD8) ).

fof(exemplo6GDDFULL012012,conjecture,
    ! [X1,X2,X3,X8,X4,X5,X6,X19] :
      ( ( midp(X6,X2,X1)
        & coll(X5,X2,X4)
        & coll(X5,X1,X3)
        & circle(X8,X1,X4,X19)
        & perp(X1,X3,X2,X4)
        & circle(X8,X1,X2,X3) )
     => perp(X6,X5,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012012) ).

fof(ruleD4,axiom,
    ! [X1,X2,X3,X4] :
      ( para(X1,X2,X3,X4)
     => para(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).

fof(ruleD69,axiom,
    ! [X1,X2,X3] :
      ( midp(X1,X2,X3)
     => coll(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD69) ).

fof(ruleD5,axiom,
    ! [X1,X2,X3,X4] :
      ( para(X1,X2,X3,X4)
     => para(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD5) ).

fof(ruleD3,axiom,
    ! [X1,X2,X3,X4] :
      ( ( coll(X1,X2,X4)
        & coll(X1,X2,X3) )
     => coll(X3,X4,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).

fof(ruleD68,axiom,
    ! [X1,X2,X3] :
      ( midp(X1,X2,X3)
     => cong(X1,X2,X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD68) ).

fof(ruleD11,axiom,
    ! [X1,X2,X7] :
      ( midp(X7,X2,X1)
     => midp(X7,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).

fof(ruleD2,axiom,
    ! [X1,X2,X3] :
      ( coll(X1,X2,X3)
     => coll(X2,X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).

fof(ruleD66,axiom,
    ! [X1,X2,X3] :
      ( para(X1,X2,X1,X3)
     => coll(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).

fof(ruleD25,axiom,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ( cong(X3,X4,X5,X6)
        & cong(X1,X2,X3,X4) )
     => cong(X1,X2,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD25) ).

fof(ruleD1,axiom,
    ! [X1,X2,X3] :
      ( coll(X1,X2,X3)
     => coll(X1,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).

fof(ruleD64,axiom,
    ! [X1,X2,X3,X4,X7] :
      ( ( para(X1,X4,X2,X3)
        & para(X1,X3,X2,X4)
        & midp(X7,X1,X2) )
     => midp(X7,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).

fof(ruleD67,axiom,
    ! [X1,X2,X3] :
      ( ( coll(X1,X2,X3)
        & cong(X1,X2,X1,X3) )
     => midp(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).

fof(ruleD23,axiom,
    ! [X1,X2,X3,X4] :
      ( cong(X1,X2,X3,X4)
     => cong(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD23) ).

fof(ruleD63,axiom,
    ! [X1,X2,X3,X4,X7] :
      ( ( midp(X7,X3,X4)
        & midp(X7,X1,X2) )
     => para(X1,X3,X2,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD63) ).

fof(ruleX6,axiom,
    ! [X1,X2,X3,X4,X7,X17] :
    ? [X9] :
      ( ( midp(X17,X3,X4)
        & midp(X7,X1,X2) )
     => ( para(X9,X17,X1,X3)
        & para(X9,X7,X2,X4)
        & midp(X9,X1,X4) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX6) ).

fof(ruleD24,axiom,
    ! [X1,X2,X3,X4] :
      ( cong(X1,X2,X3,X4)
     => cong(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD24) ).

fof(ruleD19,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
     => eqangle(X3,X4,X1,X2,X11,X12,X9,X10) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD19) ).

fof(ruleD40,axiom,
    ! [X1,X2,X3,X4,X9,X10] :
      ( para(X1,X2,X3,X4)
     => eqangle(X1,X2,X9,X10,X3,X4,X9,X10) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).

fof(ruleD39,axiom,
    ! [X1,X2,X3,X4,X9,X10] :
      ( eqangle(X1,X2,X9,X10,X3,X4,X9,X10)
     => para(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD39) ).

fof(ruleD75,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( ( cong(X9,X10,X11,X12)
        & eqratio(X1,X2,X3,X4,X9,X10,X11,X12) )
     => cong(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD75) ).

fof(ruleD70,axiom,
    ! [X1,X2,X3,X4,X7,X17] :
      ( ( midp(X17,X3,X4)
        & midp(X7,X1,X2) )
     => eqratio(X7,X1,X1,X2,X17,X3,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD70) ).

fof(ruleD73,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( ( para(X9,X10,X11,X12)
        & eqangle(X1,X2,X3,X4,X9,X10,X11,X12) )
     => para(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD73) ).

fof(ruleD46,axiom,
    ! [X1,X2,X8] :
      ( cong(X8,X1,X8,X2)
     => eqangle(X8,X1,X1,X2,X1,X2,X8,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD46) ).

fof(ruleD45,axiom,
    ! [X1,X2,X3,X5,X6] :
      ( ( coll(X6,X1,X3)
        & para(X5,X6,X2,X3)
        & midp(X5,X1,X2) )
     => midp(X6,X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD45) ).

fof(ruleD44,axiom,
    ! [X1,X2,X3,X5,X6] :
      ( ( midp(X6,X1,X3)
        & midp(X5,X1,X2) )
     => para(X5,X6,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD44) ).

fof(ruleD56,axiom,
    ! [X1,X2,X9,X10] :
      ( ( cong(X1,X10,X2,X10)
        & cong(X1,X9,X2,X9) )
     => perp(X1,X2,X9,X10) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).

fof(c_0_30,plain,
    ! [X52,X53,X54,X55,X56,X57] :
      ( para(X52,X53,X56,X57)
      | ~ perp(X54,X55,X56,X57)
      | ~ perp(X52,X53,X54,X55) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])])]) ).

fof(c_0_31,plain,
    ! [X494,X495,X496,X497] :
      ( perp(esk12_4(X494,X495,X496,X497),X494,X494,X497)
      | ~ circle(X497,X494,X495,X496) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])])]) ).

fof(c_0_32,plain,
    ! [X48,X49,X50,X51] :
      ( perp(X50,X51,X48,X49)
      | ~ perp(X48,X49,X50,X51) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])])]) ).

cnf(c_0_33,plain,
    ( ~ perp(X3,X4,X5,X6)
    | ~ perp(X1,X2,X3,X4)
    | para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_34,plain,
    ( ~ circle(X1,X2,X3,X4)
    | perp(esk12_4(X2,X3,X4,X1),X2,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_35,plain,
    ( ~ perp(X1,X2,X3,X4)
    | perp(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

fof(c_0_36,negated_conjecture,
    ~ ! [X1,X2,X3,X8,X4,X5,X6,X19] :
        ( ( midp(X6,X2,X1)
          & coll(X5,X2,X4)
          & coll(X5,X1,X3)
          & circle(X8,X1,X4,X19)
          & perp(X1,X3,X2,X4)
          & circle(X8,X1,X2,X3) )
       => perp(X6,X5,X3,X4) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULL012012]) ).

cnf(c_0_37,plain,
    ( ~ perp(X1,X2,esk12_4(X3,X5,X6,X4),X3)
    | ~ circle(X4,X3,X5,X6)
    | para(X1,X2,X3,X4) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_38,plain,
    ( ~ circle(X2,X1,X3,X4)
    | perp(X1,X2,esk12_4(X1,X3,X4,X2),X1) ),
    inference(spm,[status(thm)],[c_0_35,c_0_34]) ).

fof(c_0_39,negated_conjecture,
    ( ~ perp(esk27_0,esk26_0,esk23_0,esk25_0)
    & midp(esk27_0,esk22_0,esk21_0)
    & coll(esk26_0,esk22_0,esk25_0)
    & coll(esk26_0,esk21_0,esk23_0)
    & circle(esk24_0,esk21_0,esk25_0,esk28_0)
    & perp(esk21_0,esk23_0,esk22_0,esk25_0)
    & circle(esk24_0,esk21_0,esk22_0,esk23_0) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])]) ).

fof(c_0_40,plain,
    ! [X30,X31,X32,X33] :
      ( para(X30,X31,X33,X32)
      | ~ para(X30,X31,X32,X33) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])])]) ).

cnf(c_0_41,plain,
    ( ~ circle(X2,X1,X3,X4)
    | para(X1,X2,X1,X2) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_42,negated_conjecture,
    circle(esk24_0,esk21_0,esk25_0,esk28_0),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

fof(c_0_43,plain,
    ! [X393,X394,X395] :
      ( coll(X393,X394,X395)
      | ~ midp(X393,X394,X395) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])])]) ).

fof(c_0_44,plain,
    ! [X34,X35,X36,X37] :
      ( para(X36,X37,X34,X35)
      | ~ para(X34,X35,X36,X37) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])])]) ).

cnf(c_0_45,plain,
    ( ~ para(X1,X2,X3,X4)
    | para(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_46,negated_conjecture,
    para(esk21_0,esk24_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

fof(c_0_47,plain,
    ! [X26,X27,X28,X29] :
      ( coll(X28,X29,X26)
      | ~ coll(X26,X27,X29)
      | ~ coll(X26,X27,X28) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])])]) ).

cnf(c_0_48,plain,
    ( ~ midp(X1,X2,X3)
    | coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_49,negated_conjecture,
    midp(esk27_0,esk22_0,esk21_0),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_50,plain,
    ( ~ para(X1,X2,X3,X4)
    | para(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_51,negated_conjecture,
    para(esk21_0,esk24_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

fof(c_0_52,plain,
    ! [X390,X391,X392] :
      ( cong(X390,X391,X390,X392)
      | ~ midp(X390,X391,X392) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])])]) ).

fof(c_0_53,plain,
    ! [X64,X65,X66] :
      ( midp(X66,X64,X65)
      | ~ midp(X66,X65,X64) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])])]) ).

cnf(c_0_54,plain,
    ( ~ coll(X1,X2,X4)
    | ~ coll(X1,X2,X3)
    | coll(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_55,negated_conjecture,
    coll(esk27_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

fof(c_0_56,plain,
    ! [X23,X24,X25] :
      ( coll(X24,X23,X25)
      | ~ coll(X23,X24,X25) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])])]) ).

fof(c_0_57,plain,
    ! [X384,X385,X386] :
      ( coll(X384,X385,X386)
      | ~ para(X384,X385,X384,X386) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])])]) ).

cnf(c_0_58,negated_conjecture,
    para(esk24_0,esk21_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

fof(c_0_59,plain,
    ! [X145,X146,X147,X148,X149,X150] :
      ( cong(X145,X146,X149,X150)
      | ~ cong(X147,X148,X149,X150)
      | ~ cong(X145,X146,X147,X148) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])])]) ).

cnf(c_0_60,plain,
    ( ~ midp(X1,X2,X3)
    | cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_61,plain,
    ( ~ midp(X1,X2,X3)
    | midp(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

fof(c_0_62,plain,
    ! [X20,X21,X22] :
      ( coll(X20,X22,X21)
      | ~ coll(X20,X21,X22) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])])]) ).

cnf(c_0_63,negated_conjecture,
    ( ~ coll(esk27_0,esk22_0,X1)
    | coll(X1,esk21_0,esk27_0) ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_64,plain,
    ( ~ coll(X1,X2,X3)
    | coll(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_65,plain,
    ( ~ para(X1,X2,X1,X3)
    | coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_66,negated_conjecture,
    para(esk24_0,esk21_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_45,c_0_58]) ).

fof(c_0_67,plain,
    ! [X374,X375,X376,X377,X378] :
      ( midp(X378,X376,X377)
      | ~ para(X374,X377,X375,X376)
      | ~ para(X374,X376,X375,X377)
      | ~ midp(X378,X374,X375) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])])]) ).

cnf(c_0_68,plain,
    ( ~ cong(X3,X4,X5,X6)
    | ~ cong(X1,X2,X3,X4)
    | cong(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_69,negated_conjecture,
    cong(esk27_0,esk22_0,esk27_0,esk21_0),
    inference(spm,[status(thm)],[c_0_60,c_0_49]) ).

cnf(c_0_70,negated_conjecture,
    midp(esk27_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_61,c_0_49]) ).

cnf(c_0_71,plain,
    ( ~ coll(X1,X2,X3)
    | coll(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_72,negated_conjecture,
    coll(esk21_0,esk21_0,esk27_0),
    inference(spm,[status(thm)],[c_0_63,c_0_55]) ).

cnf(c_0_73,negated_conjecture,
    coll(esk22_0,esk27_0,esk21_0),
    inference(spm,[status(thm)],[c_0_64,c_0_55]) ).

cnf(c_0_74,negated_conjecture,
    coll(esk24_0,esk21_0,esk21_0),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_75,plain,
    ( ~ para(X2,X5,X3,X4)
    | ~ para(X2,X4,X3,X5)
    | ~ midp(X1,X2,X3)
    | midp(X1,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

fof(c_0_76,plain,
    ! [X387,X388,X389] :
      ( midp(X387,X388,X389)
      | ~ coll(X387,X388,X389)
      | ~ cong(X387,X388,X387,X389) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])])]) ).

cnf(c_0_77,negated_conjecture,
    ( ~ cong(X1,X2,esk27_0,esk22_0)
    | cong(X1,X2,esk27_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_78,negated_conjecture,
    cong(esk27_0,esk21_0,esk27_0,esk22_0),
    inference(spm,[status(thm)],[c_0_60,c_0_70]) ).

cnf(c_0_79,negated_conjecture,
    coll(esk21_0,esk27_0,esk21_0),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_80,negated_conjecture,
    coll(esk22_0,esk21_0,esk27_0),
    inference(spm,[status(thm)],[c_0_71,c_0_73]) ).

cnf(c_0_81,negated_conjecture,
    coll(esk21_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_64,c_0_74]) ).

cnf(c_0_82,negated_conjecture,
    ( ~ midp(X1,esk21_0,esk21_0)
    | midp(X1,esk24_0,esk24_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_46]),c_0_46])]) ).

cnf(c_0_83,plain,
    ( ~ coll(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_76]) ).

cnf(c_0_84,negated_conjecture,
    cong(esk27_0,esk21_0,esk27_0,esk21_0),
    inference(spm,[status(thm)],[c_0_77,c_0_78]) ).

cnf(c_0_85,negated_conjecture,
    coll(esk27_0,esk21_0,esk21_0),
    inference(spm,[status(thm)],[c_0_64,c_0_79]) ).

cnf(c_0_86,negated_conjecture,
    ( ~ coll(esk22_0,esk21_0,X1)
    | coll(X1,esk27_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_54,c_0_80]) ).

cnf(c_0_87,negated_conjecture,
    coll(esk21_0,esk24_0,esk24_0),
    inference(spm,[status(thm)],[c_0_65,c_0_46]) ).

cnf(c_0_88,negated_conjecture,
    ( ~ coll(esk21_0,esk21_0,X1)
    | coll(X1,esk27_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_54,c_0_72]) ).

cnf(c_0_89,negated_conjecture,
    coll(esk21_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_71,c_0_81]) ).

fof(c_0_90,plain,
    ! [X137,X138,X139,X140] :
      ( cong(X137,X138,X140,X139)
      | ~ cong(X137,X138,X139,X140) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])])]) ).

cnf(c_0_91,negated_conjecture,
    ( ~ midp(X1,esk21_0,esk21_0)
    | cong(X1,esk24_0,X1,esk24_0) ),
    inference(spm,[status(thm)],[c_0_60,c_0_82]) ).

cnf(c_0_92,negated_conjecture,
    midp(esk27_0,esk21_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85])]) ).

cnf(c_0_93,negated_conjecture,
    coll(esk27_0,esk27_0,esk22_0),
    inference(spm,[status(thm)],[c_0_86,c_0_80]) ).

fof(c_0_94,plain,
    ! [X369,X370,X371,X372,X373] :
      ( para(X369,X371,X370,X372)
      | ~ midp(X373,X371,X372)
      | ~ midp(X373,X369,X370) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])])]) ).

fof(c_0_95,plain,
    ! [X460,X461,X462,X463,X464,X465] :
      ( ( ~ midp(X465,X462,X463)
        | ~ midp(X464,X460,X461)
        | para(esk6_6(X460,X461,X462,X463,X464,X465),X465,X460,X462) )
      & ( ~ midp(X465,X462,X463)
        | ~ midp(X464,X460,X461)
        | para(esk6_6(X460,X461,X462,X463,X464,X465),X464,X461,X463) )
      & ( ~ midp(X465,X462,X463)
        | ~ midp(X464,X460,X461)
        | midp(esk6_6(X460,X461,X462,X463,X464,X465),X460,X463) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX6])])])])])]) ).

cnf(c_0_96,negated_conjecture,
    coll(esk24_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_64,c_0_87]) ).

cnf(c_0_97,negated_conjecture,
    coll(esk24_0,esk27_0,esk21_0),
    inference(spm,[status(thm)],[c_0_88,c_0_89]) ).

fof(c_0_98,plain,
    ! [X141,X142,X143,X144] :
      ( cong(X143,X144,X141,X142)
      | ~ cong(X141,X142,X143,X144) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])])]) ).

cnf(c_0_99,plain,
    ( ~ cong(X1,X2,X3,X4)
    | cong(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_90]) ).

cnf(c_0_100,negated_conjecture,
    cong(esk27_0,esk24_0,esk27_0,esk24_0),
    inference(spm,[status(thm)],[c_0_91,c_0_92]) ).

cnf(c_0_101,negated_conjecture,
    coll(esk27_0,esk22_0,esk27_0),
    inference(spm,[status(thm)],[c_0_71,c_0_93]) ).

cnf(c_0_102,plain,
    ( ~ midp(X1,X4,X5)
    | ~ midp(X1,X2,X3)
    | para(X2,X4,X3,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_94]) ).

cnf(c_0_103,plain,
    ( ~ midp(X6,X3,X4)
    | ~ midp(X5,X1,X2)
    | midp(esk6_6(X1,X2,X3,X4,X5,X6),X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_95]) ).

cnf(c_0_104,negated_conjecture,
    ( ~ coll(esk24_0,esk21_0,X1)
    | coll(X1,esk24_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_54,c_0_96]) ).

cnf(c_0_105,negated_conjecture,
    coll(esk24_0,esk21_0,esk27_0),
    inference(spm,[status(thm)],[c_0_71,c_0_97]) ).

cnf(c_0_106,plain,
    ( ~ cong(X1,X2,X3,X4)
    | cong(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_98]) ).

cnf(c_0_107,negated_conjecture,
    cong(esk27_0,esk24_0,esk24_0,esk27_0),
    inference(spm,[status(thm)],[c_0_99,c_0_100]) ).

cnf(c_0_108,negated_conjecture,
    coll(esk27_0,esk21_0,esk27_0),
    inference(spm,[status(thm)],[c_0_63,c_0_101]) ).

cnf(c_0_109,negated_conjecture,
    coll(esk27_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_64,c_0_97]) ).

cnf(c_0_110,plain,
    ( ~ midp(X7,X2,X5)
    | ~ midp(X8,X6,X4)
    | ~ midp(esk6_6(X2,X5,X6,X4,X7,X8),X1,X3)
    | para(X1,X2,X3,X4) ),
    inference(spm,[status(thm)],[c_0_102,c_0_103]) ).

cnf(c_0_111,plain,
    ( ~ midp(X5,X1,X2)
    | ~ midp(X6,X3,X4)
    | midp(esk6_6(X1,X2,X3,X4,X5,X6),X4,X1) ),
    inference(spm,[status(thm)],[c_0_61,c_0_103]) ).

cnf(c_0_112,negated_conjecture,
    coll(esk27_0,esk24_0,esk24_0),
    inference(spm,[status(thm)],[c_0_104,c_0_105]) ).

cnf(c_0_113,negated_conjecture,
    cong(esk24_0,esk27_0,esk27_0,esk24_0),
    inference(spm,[status(thm)],[c_0_106,c_0_107]) ).

cnf(c_0_114,negated_conjecture,
    ( ~ coll(esk27_0,esk21_0,X1)
    | coll(X1,esk27_0,esk27_0) ),
    inference(spm,[status(thm)],[c_0_54,c_0_108]) ).

cnf(c_0_115,negated_conjecture,
    coll(esk27_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_71,c_0_109]) ).

cnf(c_0_116,plain,
    ( ~ midp(X5,X2,X6)
    | ~ midp(X3,X4,X1)
    | para(X1,X2,X2,X1) ),
    inference(spm,[status(thm)],[c_0_110,c_0_111]) ).

cnf(c_0_117,negated_conjecture,
    midp(esk27_0,esk24_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_100]),c_0_112])]) ).

cnf(c_0_118,negated_conjecture,
    cong(esk24_0,esk27_0,esk24_0,esk27_0),
    inference(spm,[status(thm)],[c_0_99,c_0_113]) ).

cnf(c_0_119,negated_conjecture,
    coll(esk24_0,esk27_0,esk27_0),
    inference(spm,[status(thm)],[c_0_114,c_0_115]) ).

cnf(c_0_120,negated_conjecture,
    ( ~ midp(X2,X1,X3)
    | para(esk24_0,X1,X1,esk24_0) ),
    inference(spm,[status(thm)],[c_0_116,c_0_117]) ).

cnf(c_0_121,negated_conjecture,
    midp(esk24_0,esk27_0,esk27_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_118]),c_0_119])]) ).

fof(c_0_122,plain,
    ! [X101,X102,X103,X104,X105,X106,X107,X108] :
      ( eqangle(X103,X104,X101,X102,X107,X108,X105,X106)
      | ~ eqangle(X101,X102,X103,X104,X105,X106,X107,X108) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])])]) ).

fof(c_0_123,plain,
    ! [X255,X256,X257,X258,X259,X260] :
      ( eqangle(X255,X256,X259,X260,X257,X258,X259,X260)
      | ~ para(X255,X256,X257,X258) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])])]) ).

cnf(c_0_124,negated_conjecture,
    para(esk24_0,esk27_0,esk27_0,esk24_0),
    inference(spm,[status(thm)],[c_0_120,c_0_121]) ).

fof(c_0_125,plain,
    ! [X249,X250,X251,X252,X253,X254] :
      ( para(X249,X250,X251,X252)
      | ~ eqangle(X249,X250,X253,X254,X251,X252,X253,X254) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])])]) ).

cnf(c_0_126,plain,
    ( ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | eqangle(X3,X4,X1,X2,X7,X8,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_122]) ).

cnf(c_0_127,plain,
    ( ~ para(X1,X2,X3,X4)
    | eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_123]) ).

cnf(c_0_128,plain,
    ( ~ midp(X5,X1,X6)
    | ~ midp(X3,X4,X2)
    | para(X1,X1,X2,X2) ),
    inference(spm,[status(thm)],[c_0_110,c_0_103]) ).

cnf(c_0_129,negated_conjecture,
    para(esk24_0,esk27_0,esk24_0,esk27_0),
    inference(spm,[status(thm)],[c_0_45,c_0_124]) ).

cnf(c_0_130,plain,
    ( ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_125]) ).

cnf(c_0_131,plain,
    ( ~ para(X3,X4,X5,X6)
    | eqangle(X1,X2,X3,X4,X1,X2,X5,X6) ),
    inference(spm,[status(thm)],[c_0_126,c_0_127]) ).

cnf(c_0_132,negated_conjecture,
    ( ~ midp(X2,X1,X3)
    | para(X1,X1,esk27_0,esk27_0) ),
    inference(spm,[status(thm)],[c_0_128,c_0_121]) ).

fof(c_0_133,plain,
    ! [X426,X427,X428,X429,X430,X431,X432,X433] :
      ( cong(X426,X427,X428,X429)
      | ~ cong(X430,X431,X432,X433)
      | ~ eqratio(X426,X427,X428,X429,X430,X431,X432,X433) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])])]) ).

fof(c_0_134,plain,
    ! [X396,X397,X398,X399,X400,X401] :
      ( eqratio(X400,X396,X396,X397,X401,X398,X398,X399)
      | ~ midp(X401,X398,X399)
      | ~ midp(X400,X396,X397) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])])]) ).

cnf(c_0_135,negated_conjecture,
    ( ~ midp(X1,esk24_0,esk24_0)
    | midp(X1,esk27_0,esk27_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_129]),c_0_129])]) ).

cnf(c_0_136,plain,
    ( ~ para(X3,X4,X3,X4)
    | para(X1,X2,X1,X2) ),
    inference(spm,[status(thm)],[c_0_130,c_0_131]) ).

cnf(c_0_137,negated_conjecture,
    para(esk27_0,esk27_0,esk27_0,esk27_0),
    inference(spm,[status(thm)],[c_0_132,c_0_121]) ).

cnf(c_0_138,plain,
    ( ~ cong(X5,X6,X7,X8)
    | ~ eqratio(X1,X2,X3,X4,X5,X6,X7,X8)
    | cong(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_133]) ).

cnf(c_0_139,plain,
    ( ~ midp(X4,X5,X6)
    | ~ midp(X1,X2,X3)
    | eqratio(X1,X2,X2,X3,X4,X5,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_134]) ).

cnf(c_0_140,negated_conjecture,
    midp(esk27_0,esk27_0,esk27_0),
    inference(spm,[status(thm)],[c_0_135,c_0_117]) ).

cnf(c_0_141,negated_conjecture,
    para(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_136,c_0_137]) ).

cnf(c_0_142,plain,
    ( ~ midp(X1,X2,X3)
    | ~ midp(X4,X5,X6)
    | ~ cong(X4,X5,X5,X6)
    | cong(X1,X2,X2,X3) ),
    inference(spm,[status(thm)],[c_0_138,c_0_139]) ).

cnf(c_0_143,negated_conjecture,
    cong(esk27_0,esk27_0,esk27_0,esk27_0),
    inference(spm,[status(thm)],[c_0_60,c_0_140]) ).

cnf(c_0_144,negated_conjecture,
    ( ~ midp(X1,X3,X3)
    | midp(X1,X2,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_141]),c_0_141])]) ).

cnf(c_0_145,negated_conjecture,
    coll(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_65,c_0_141]) ).

cnf(c_0_146,negated_conjecture,
    ( ~ midp(X1,X2,X3)
    | cong(X1,X2,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_140])]) ).

cnf(c_0_147,negated_conjecture,
    midp(esk27_0,X1,X1),
    inference(spm,[status(thm)],[c_0_144,c_0_140]) ).

cnf(c_0_148,negated_conjecture,
    coll(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_64,c_0_145]) ).

fof(c_0_149,plain,
    ! [X410,X411,X412,X413,X414,X415,X416,X417] :
      ( para(X410,X411,X412,X413)
      | ~ para(X414,X415,X416,X417)
      | ~ eqangle(X410,X411,X412,X413,X414,X415,X416,X417) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])])]) ).

fof(c_0_150,plain,
    ! [X289,X290,X291] :
      ( eqangle(X291,X289,X289,X290,X289,X290,X291,X290)
      | ~ cong(X291,X289,X291,X290) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])])]) ).

cnf(c_0_151,negated_conjecture,
    cong(esk27_0,X1,X1,X1),
    inference(spm,[status(thm)],[c_0_146,c_0_147]) ).

cnf(c_0_152,negated_conjecture,
    coll(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_71,c_0_148]) ).

fof(c_0_153,plain,
    ! [X284,X285,X286,X287,X288] :
      ( midp(X288,X284,X286)
      | ~ coll(X288,X284,X286)
      | ~ para(X287,X288,X285,X286)
      | ~ midp(X287,X284,X285) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])])]) ).

cnf(c_0_154,plain,
    ( ~ para(X5,X6,X7,X8)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_149]) ).

cnf(c_0_155,plain,
    ( ~ cong(X1,X2,X1,X3)
    | eqangle(X1,X2,X2,X3,X2,X3,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_150]) ).

cnf(c_0_156,negated_conjecture,
    cong(X1,X1,esk27_0,X1),
    inference(spm,[status(thm)],[c_0_106,c_0_151]) ).

cnf(c_0_157,negated_conjecture,
    coll(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_152]),c_0_152])]) ).

cnf(c_0_158,plain,
    ( ~ coll(X4,X2,X5)
    | ~ para(X1,X4,X3,X5)
    | ~ midp(X1,X2,X3)
    | midp(X4,X2,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_153]) ).

cnf(c_0_159,plain,
    ( ~ para(X2,X3,X1,X3)
    | ~ cong(X1,X2,X1,X3)
    | para(X1,X2,X2,X3) ),
    inference(spm,[status(thm)],[c_0_154,c_0_155]) ).

cnf(c_0_160,negated_conjecture,
    cong(X1,X1,X1,esk27_0),
    inference(spm,[status(thm)],[c_0_99,c_0_156]) ).

cnf(c_0_161,plain,
    ( ~ cong(X1,X2,X1,X3)
    | midp(X1,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_157])]) ).

cnf(c_0_162,plain,
    ( ~ para(X4,X1,X5,X3)
    | ~ midp(X4,X2,X5)
    | midp(X1,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_158,c_0_157])]) ).

cnf(c_0_163,negated_conjecture,
    para(X1,X1,X1,esk27_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_141])]) ).

cnf(c_0_164,negated_conjecture,
    midp(X1,X1,esk27_0),
    inference(spm,[status(thm)],[c_0_161,c_0_160]) ).

cnf(c_0_165,negated_conjecture,
    ( ~ midp(X1,X2,X1)
    | midp(X1,X2,esk27_0) ),
    inference(spm,[status(thm)],[c_0_162,c_0_163]) ).

cnf(c_0_166,negated_conjecture,
    midp(X1,esk27_0,X1),
    inference(spm,[status(thm)],[c_0_61,c_0_164]) ).

cnf(c_0_167,negated_conjecture,
    midp(X1,esk27_0,esk27_0),
    inference(spm,[status(thm)],[c_0_165,c_0_166]) ).

cnf(c_0_168,negated_conjecture,
    ( ~ midp(X3,X2,X3)
    | midp(X1,X2,X1) ),
    inference(spm,[status(thm)],[c_0_162,c_0_141]) ).

cnf(c_0_169,negated_conjecture,
    midp(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_144,c_0_167]) ).

cnf(c_0_170,negated_conjecture,
    midp(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_168,c_0_169]) ).

fof(c_0_171,plain,
    ! [X279,X280,X281,X282,X283] :
      ( para(X282,X283,X280,X281)
      | ~ midp(X283,X279,X281)
      | ~ midp(X282,X279,X280) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])])]) ).

cnf(c_0_172,negated_conjecture,
    midp(X1,X2,esk27_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_165,c_0_170])]) ).

cnf(c_0_173,plain,
    ( ~ midp(X4,X2,X5)
    | ~ midp(X1,X2,X3)
    | para(X1,X4,X3,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_171]) ).

cnf(c_0_174,negated_conjecture,
    midp(X1,esk27_0,X2),
    inference(spm,[status(thm)],[c_0_61,c_0_172]) ).

cnf(c_0_175,negated_conjecture,
    para(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_174])]) ).

cnf(c_0_176,plain,
    ( ~ midp(X1,X4,X5)
    | midp(X1,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_175]),c_0_175])]) ).

cnf(c_0_177,negated_conjecture,
    midp(X1,X2,X3),
    inference(spm,[status(thm)],[c_0_176,c_0_174]) ).

fof(c_0_178,plain,
    ! [X331,X332,X333,X334] :
      ( perp(X331,X332,X333,X334)
      | ~ cong(X331,X334,X332,X334)
      | ~ cong(X331,X333,X332,X333) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])])]) ).

cnf(c_0_179,negated_conjecture,
    cong(X1,X2,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_177])]) ).

cnf(c_0_180,plain,
    ( ~ cong(X1,X4,X3,X4)
    | ~ cong(X1,X2,X3,X2)
    | perp(X1,X3,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_178]) ).

cnf(c_0_181,negated_conjecture,
    cong(X1,X2,X3,X2),
    inference(spm,[status(thm)],[c_0_99,c_0_179]) ).

cnf(c_0_182,negated_conjecture,
    ~ perp(esk27_0,esk26_0,esk23_0,esk25_0),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_183,plain,
    perp(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_180,c_0_181]),c_0_181])]) ).

cnf(c_0_184,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_182,c_0_183])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO552+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/5.39  % Computer : n020.cluster.edu
% 0.13/5.39  % Model    : x86_64 x86_64
% 0.13/5.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.39  % Memory   : 8046.5625MB
% 0.13/5.39  % OS       : Linux 6.8.0-71-generic
% 0.13/5.39  % CPULimit : 300
% 0.13/5.39  % WCLimit  : 300
% 0.13/5.39  % DateTime : Sun Sep 20 17:27:07 UTC 2026
% 0.13/5.39  % CPUTime  : 
% 0.13/5.39  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/5.44  Running first-order theorem proving
% 0.17/5.44  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/5.84  % Version: 3.5.1
% 0.17/5.84  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/5.84  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/5.84  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/5.84  % Starting new_bool_3 with 300s (1) cores
% 0.17/5.84  % Starting new_bool_1 with 300s (1) cores
% 0.17/5.84  % Starting sh5l with 300s (1) cores
% 0.17/5.84  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 873053 completed with status 0
% 0.17/5.84  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.17/5.84  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/5.84  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/5.84  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/5.84  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.17/5.84  % No SInE strategy applied
% 0.17/5.84  % Search class: FGUSF-FFLM33-SFFFFFNN
% 0.17/5.84  % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 0.17/5.84  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/5.84  % Starting SubtermCWHack with 136s (1) cores
% 0.17/5.84  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.17/5.84  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.17/5.84  % Starting new_bool_3 with 136s (1) cores
% 0.17/5.84  % Starting new_bool_1 with 136s (1) cores
% 0.17/5.84  % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 873061 completed with status 0
% 0.17/5.84  % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 0.17/5.84  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/5.84  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/5.84  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/5.84  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.17/5.84  % No SInE strategy applied
% 0.17/5.84  % Search class: FGUSF-FFLM33-SFFFFFNN
% 0.17/5.84  % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 0.17/5.84  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/5.84  % Starting SubtermCWHack with 136s (1) cores
% 0.17/5.84  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.17/5.84  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.17/5.84  % Preprocessing time       : 0.003 s
% 0.17/5.84  % Presaturation interreduction done
% 0.17/5.84  
% 0.17/5.84  % Proof found!
% 0.17/5.84  % SZS status Theorem
% 0.17/5.84  % SZS output start CNFRefutation
% See solution above
% 0.17/5.84  % Parsed axioms                        : 95
% 0.17/5.84  % Removed by relevancy pruning/SinE    : 0
% 0.17/5.84  % Initial clauses                      : 120
% 0.17/5.84  % Removed in clause preprocessing      : 0
% 0.17/5.84  % Initial clauses in saturation        : 120
% 0.17/5.84  % Processed clauses                    : 3155
% 0.17/5.84  % ...of these trivial                  : 298
% 0.17/5.84  % ...subsumed                          : 485
% 0.17/5.84  % ...remaining for further processing  : 2372
% 0.17/5.84  % Other redundant clauses eliminated   : 0
% 0.17/5.84  % Clauses deleted for lack of memory   : 0
% 0.17/5.84  % Backward-subsumed                    : 38
% 0.17/5.84  % Backward-rewritten                   : 2158
% 0.17/5.84  % Generated clauses                    : 17756
% 0.17/5.84  % ...of the previous two non-redundant : 11469
% 0.17/5.84  % ...aggressively subsumed             : 0
% 0.17/5.84  % Contextual simplify-reflections      : 15
% 0.17/5.84  % Paramodulations                      : 17756
% 0.17/5.84  % Factorizations                       : 0
% 0.17/5.84  % NegExts                              : 0
% 0.17/5.84  % Equation resolutions                 : 0
% 0.17/5.84  % Disequality decompositions           : 0
% 0.17/5.84  % Total rewrite steps                  : 9896
% 0.17/5.84  % ...of those cached                   : 7150
% 0.17/5.84  % Propositional unsat checks           : 0
% 0.17/5.84  %    Propositional check models        : 0
% 0.17/5.84  %    Propositional check unsatisfiable : 0
% 0.17/5.84  %    Propositional clauses             : 0
% 0.17/5.84  %    Propositional clauses after purity: 0
% 0.17/5.84  %    Propositional unsat core size     : 0
% 0.17/5.84  %    Propositional preprocessing time  : 0.000
% 0.17/5.84  %    Propositional encoding time       : 0.000
% 0.17/5.84  %    Propositional solver time         : 0.000
% 0.17/5.84  %    Success case prop preproc time    : 0.000
% 0.17/5.84  %    Success case prop encoding time   : 0.000
% 0.17/5.84  %    Success case prop solver time     : 0.000
% 0.17/5.84  % Current number of processed clauses  : 57
% 0.17/5.84  %    Positive orientable unit clauses  : 20
% 0.17/5.84  %    Positive unorientable unit clauses: 0
% 0.17/5.84  %    Negative unit clauses             : 0
% 0.17/5.84  %    Non-unit-clauses                  : 37
% 0.17/5.84  % Current number of unprocessed clauses: 8004
% 0.17/5.84  % ...number of literals in the above   : 22730
% 0.17/5.84  % Current number of archived formulas  : 0
% 0.17/5.84  % Current number of archived clauses   : 2315
% 0.17/5.84  % Clause-clause subsumption calls (NU) : 110863
% 0.17/5.84  % Rec. Clause-clause subsumption calls : 92827
% 0.17/5.84  % Non-unit clause-clause subsumptions  : 532
% 0.17/5.84  % Unit Clause-clause subsumption calls : 75473
% 0.17/5.84  % Rewrite failures with RHS unbound    : 0
% 0.17/5.84  % BW rewrite match attempts            : 14403
% 0.17/5.84  % BW rewrite match successes           : 1659
% 0.17/5.84  % Condensation attempts                : 0
% 0.17/5.84  % Condensation successes               : 0
% 0.17/5.84  % Termbank termtop insertions          : 199855
% 0.17/5.84  % Search garbage collected termcells   : 2814
% 0.17/5.84  
% 0.17/5.84  % -------------------------------------------------
% 0.17/5.84  % User time                : 0.353 s
% 0.17/5.84  % System time              : 0.015 s
% 0.17/5.84  % Total time               : 0.369 s
% 0.17/5.84  % Maximum resident set size: 4304 pages
% 0.17/5.84  
% 0.17/5.84  % -------------------------------------------------
% 0.17/5.84  % User time                : 1.680 s
% 0.17/5.84  % System time              : 0.088 s
% 0.17/5.84  % Total time               : 1.768 s
% 0.17/5.84  % Maximum resident set size: 4864 pages
% 0.17/5.84  % E exiting
%------------------------------------------------------------------------------